using System; using Org.BouncyCastle.Math.Field; using Org.BouncyCastle.Utilities.Encoders; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP521R1Curve : ECCurve { public static readonly BigInteger q = new BigInteger(1, Hex.Decode("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")); private const int SecP521R1_DEFAULT_COORDS = COORD_JACOBIAN; protected readonly SecP521R1Point m_infinity; public SecP521R1Curve() : base(FiniteFields.GetPrimeField(q)) { this.m_infinity = new SecP521R1Point(this, null, null); this.m_a = FromBigInteger(new BigInteger(1, Hex.Decode("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"))); this.m_b = FromBigInteger(new BigInteger(1, Hex.Decode("0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00"))); this.m_order = new BigInteger(1, Hex.Decode("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409")); this.m_cofactor = BigInteger.One; this.m_coord = SecP521R1_DEFAULT_COORDS; } protected override ECCurve CloneCurve() { return new SecP521R1Curve(); } public override bool SupportsCoordinateSystem(int coord) { switch (coord) { case COORD_JACOBIAN: return true; default: return false; } } public virtual BigInteger Q { get { return q; } } public override ECPoint Infinity { get { return m_infinity; } } public override int FieldSize { get { return q.BitLength; } } public override ECFieldElement FromBigInteger(BigInteger x) { return new SecP521R1FieldElement(x); } protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y, bool withCompression) { return new SecP521R1Point(this, x, y, withCompression); } protected override ECPoint DecompressPoint(int yTilde, BigInteger X1) { ECFieldElement x = FromBigInteger(X1); ECFieldElement alpha = x.Square().Add(A).Multiply(x).Add(B); ECFieldElement beta = alpha.Sqrt(); // // if we can't find a sqrt we haven't got a point on the // curve - run! // if (beta == null) throw new ArithmeticException("Invalid point compression"); if (beta.TestBitZero() != (yTilde == 1)) { // Use the other root beta = beta.Negate(); } return new SecP521R1Point(this, x, beta, true); } } }